Irah Stephanie V. Retes III-Obedience

Postulate 1 is the line postulate which 2 points determine a unique line. Postulate 2 is the plane postulate that 3 collinear is in 1 or more plane but if its noncollinear it could only be in 1 plane. Postulate 4 is the flat plane postulate because 2 points are in 1 plane then the line is in the plane.

As you can see that is a door in our home. The lights signifies 2 different planes like the left panel for lights it has 2 points (switches of the light) so it makes up a line and the right panel has 3 points and its collinear. Postulate 1 is the left panel for lights. Postulate 2 is the hole design of the sides of the door, it has many points but it only has 1 plane. Postulate 3 is the grave of the door because it intersects one another. Postulate 4 is the door and the points are the lock, knob, and key hole.

Florian F. Perez Jr. of III-Obedience

The theorem depicted in the picture is theorem 1-1. This theorem states that two distinct lines intersect at exactly one point. No two lines can intersect twice. If ever you try to curve it, then it is no longer called a line because a line is straight and extends in opposite directions.

The picture I chose is the stained glass form Mt. Samat. The mirror itself is the plane, while the frame is the line. Lines in the plane intersect each other to hold as the foundation of the glass. In the background, you can also see points or circles in the image.

#geometryiseverywhere

Vincent Angelo A. Flores III-Obedience

Postulate 1 (Line postulate)

The theorem that I used is the first postulate. the first postulate states that whenever there are two points or if there is a collinear point there is always a line in between them.

On my picture you can see 2 white dots on the guitar neck. The two white dots represent 2 points and the string passing through them is the line thus presenting the first postulate.

Carmela Marie C. Ramirez III – Obedience

Caption: Note the Points In Music

Paragraph 1: In the photo, it states Postulate 1-3. This theorems explains that there are 3 points on the plane are noncollinear.

Paragraph 2: The picture deficits Postulate 1-3 because the music sheet is the plane and the music notes are the points. There are 7 music staffs on the picture and these music staffs divide the notes to which they may be connected to form a triangle. Example is on staff 4, the 6th note may be connected to    the 11th note in staff 3 and also may be connected to 13th note in staff 4  for it to turn out to be a triangle

#geometryiseverywhere

Patrick John C. Mangahas III – Obedience

Cups also have postulates/theorems. As you can see in my photo, it has the Theorem 1-2. The cover represents the plane while the straw is the line. The straw is not contained in the cover that means the straw intersects with the cover, showing only one point. You can’t add another straw because the cover is used to block those who want to intersect within, so it will really show only one point. There you have it!

#geometryiseverywhere

John Emmanuel D. Samson of II-Obedience

Theorem 1-2
The picture is a good example of this theorem. Let’s just simply say the pole represents the line, which intersects with he the wall that represents the plane, thus a point is the result (like in the picture).

Christianromeoplan III-Obedience

Postulate 3 explains that if two distinct planes intersect, their intersection is a line.
In that case, the walls are planes A and B and their intersection is their edge. #geometryiseverywhere

Miguel Ozaeta III – Obedience

This photo contains Theorem 1-1 which says that two distinct lines intersect at only one point.

As you can see in my picture, the spokes of a bicycle wheel or the lines intersect. There is only one place where the spokes intersected, it is called a point. There are many pair of spokes in a bicycle wheel that intersect in only one point. This is an example that geometry is indeed everywhere.

#geometryiseverywhere

Frederich Matthew V. Sanchez III – Obedience

The postulate that is very evident in this photo, according to my perspective, is the Theorem 1-2 which is where the line not contained in a plane intersects the plane then there is only one point.
As we can see in this photo, the post/ pole passes through the ceiling. This will result into a single point and that point is the place where the ceiling and the post/ pole intersected.

#geometryiseverywhere

Philip Victor Angelo P. Sido

In my picture we can see that there are intersecting edges of the door and the metal attachment on the door has a collinear.

The intersecting edges of the door are the intersecting planes which is Postulate#3. Another one is the metal attachment on the door that has 2 planes which is Postulate #2

It is postulate#3 because of the edges of the doors that intersects that makes a line in the middle. It is postulate#2 because of the 2 planes that are attach to the line which produce 2 collinears.

#geometryiseverywhere